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Stels [109]
3 years ago
5

416 is what percentage of 523

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0
79.54
I used a calculator so.... yeah
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
Create a equation for this exponential function
Evgen [1.6K]

Answer:

f(X) 70x49

Step-by-step explanation:

5 0
2 years ago
For the following sequence, state if its arithmetic, geometric or neither -4, 12, -36, 108, -324...
Strike441 [17]
Geometric because the common factor is -3. each time it’s being multiplied by negative 3.
ANSWER/// GEOMETRIC
6 0
2 years ago
Read 2 more answers
The volume of a right cylinder is 27π cubic centimeters, and the high is 3 centimeters (cm). What is the radius of the cylinder?
Dmitrij [34]

Answer:

B

Step-by-step explanation:

The volume is the height x area of base, 27pi / 3 = 9pi

Area of base is radius square x pi, 9 pi = 3^2 x pi

4 0
2 years ago
Read 2 more answers
4 3/4 years equals how many months
irina [24]
1 yr = 12 months
4 yrs= 12x4 = 48 months
3/4 year= 3/4 x12 = 9
so 4 3/4 years= 48+9 =57 months
7 0
3 years ago
Read 2 more answers
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